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RESEARCH PRODUCT

Approximation of fixed points of multifunctions in partial metric spaces

Daniela PaesanoPasquale Vetro

subject

Metric spacePure mathematicsMatematikPartial metric spacesSettore MAT/05 - Analisi MatematicaContractive multifunctionFixed pointGeneral MedicineFixed pointcontractive multifunctionspartial metric spacesinexact iterative schemeFixed pointInexact iterative schemeMathematicsMathematics

description

Recently, Reich and Zaslavski [S. Reich and A.J. Zaslavski, Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings, Fixed Point Theory Appl. 2010 (2010), Article ID 518243, 10pages] have studied a new inexact iterative scheme for fixed points ofcontractive multifunctions. In this paper, using the partial Hausdorffmetric introduced by Aydi et al., we prove an analogous to a resultof Reich and Zaslavski for contractive multifunctions in the setting ofpartial metric spaces. An example is given to illustrate our result. 

https://dergipark.org.tr/tr/pub/hujms/issue/49429/524353